Scaling analyses based on wavelet transforms for the Talbot effect Article

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Overview

abstract

• The fractal properties of the transverse Talbot images are analyzed with two well-known scaling methods, the wavelet transform modulus maxima (WTMM) and the wavelet transform multifractal detrended fluctuation analysis (WT-MFDFA). We use the widths of the singularity spectra, Δα=αH- αmin, as a characteristic feature of these Talbot images. The τ scaling exponents of the q moments are linear in q within the two methods, which proves the monofractality of the transverse diffractive paraxial field in the case of these images. © 2013 Elsevier B.V. All rights reserved.

authors

• Ludu A.
• Murguía Ibarra José Salomé
• Rosu H.C.

publication date

• 2013-01-01

published in

• Physica A: Statistical Mechanics and its Applications  Journal

Research

keywords

• Fibonacci convergents; Near-field diffraction; Scaling exponent; Self-imaging effect; Wavelet transform Fibonacci convergents; Fractal properties; Multifractal detrended fluctuation analysis; Near-field diffraction; Scaling analysis; Scaling exponent; Self-imaging effects; Wavelet transform modulus maxima; Fractals; Wavelet transforms

Identity

Digital Object Identifier (DOI)

• 10.1016/j.physa.2013.04.015

Additional Document Info

start page

• 3780

end page

• 3788

volume

• 392

issue

• 17